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Fractional Dynamics of Computer Virus Propagation

Received: 9 March 2015     Accepted: 3 April 2015     Published: 14 April 2015
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Abstract

This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.

Published in Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 3)
DOI 10.11648/j.sjams.20150303.11
Page(s) 63-69
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Nonlinear System, Fractional Calculus, Computer Virus Model

References
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  • APA Style

    Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. (2015). Fractional Dynamics of Computer Virus Propagation. Science Journal of Applied Mathematics and Statistics, 3(3), 63-69. https://doi.org/10.11648/j.sjams.20150303.11

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    ACS Style

    Bonyah Ebenezer; Nyabadza Farai; Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci. J. Appl. Math. Stat. 2015, 3(3), 63-69. doi: 10.11648/j.sjams.20150303.11

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    AMA Style

    Bonyah Ebenezer, Nyabadza Farai, Asiedu-Addo Samuel Kwesi. Fractional Dynamics of Computer Virus Propagation. Sci J Appl Math Stat. 2015;3(3):63-69. doi: 10.11648/j.sjams.20150303.11

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  • @article{10.11648/j.sjams.20150303.11,
      author = {Bonyah Ebenezer and Nyabadza Farai and Asiedu-Addo Samuel Kwesi},
      title = {Fractional Dynamics of Computer Virus Propagation},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {3},
      number = {3},
      pages = {63-69},
      doi = {10.11648/j.sjams.20150303.11},
      url = {https://doi.org/10.11648/j.sjams.20150303.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150303.11},
      abstract = {This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.},
     year = {2015}
    }
    

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    T1  - Fractional Dynamics of Computer Virus Propagation
    AU  - Bonyah Ebenezer
    AU  - Nyabadza Farai
    AU  - Asiedu-Addo Samuel Kwesi
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    N1  - https://doi.org/10.11648/j.sjams.20150303.11
    DO  - 10.11648/j.sjams.20150303.11
    T2  - Science Journal of Applied Mathematics and Statistics
    JF  - Science Journal of Applied Mathematics and Statistics
    JO  - Science Journal of Applied Mathematics and Statistics
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    UR  - https://doi.org/10.11648/j.sjams.20150303.11
    AB  - This paper studies the fractional order model for computer virus in SEIR model. Firstly, the basic reproduction number R0, which determines the threshold of the spread of the virus is determined. The stability of equilibra was also determined and studied. The Adams-Bashforth-Moulton algorithm was employed to solve and simulate the system of differential equations. The results of the simulation depicts that by small change in α led to big change in the associated numerical results.
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    IS  - 3
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Author Information
  • Department of Mathematics and Statistics, Kumasi Polytechnic, Kumasi, Ghana

  • Department of Mathematical Science, University of Stellenbosch, Matieland, South Africa

  • Department of Mathematics Education, University of Education, Winneba Ghana

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